Marcelo Viana

4.7k total citations
59 papers, 2.1k citations indexed

About

Marcelo Viana is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Marcelo Viana has authored 59 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Mathematical Physics, 46 papers in Statistical and Nonlinear Physics and 17 papers in Geometry and Topology. Recurrent topics in Marcelo Viana's work include Mathematical Dynamics and Fractals (50 papers), Quantum chaos and dynamical systems (35 papers) and Chaos control and synchronization (16 papers). Marcelo Viana is often cited by papers focused on Mathematical Dynamics and Fractals (50 papers), Quantum chaos and dynamical systems (35 papers) and Chaos control and synchronization (16 papers). Marcelo Viana collaborates with scholars based in Brazil, France and Portugal. Marcelo Viana's co-authors include Christian Bonatti, José F. Alves, Artur Avila, Jairo Bochi, Lorenzo J. Díaz, Jacob Palis, Krerley Oliveira, Jiagang Yang, Viviane Baladi and Michael Benedicks and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Marcelo Viana

51 papers receiving 1.9k citations

Peers

Marcelo Viana
Michał Misiurewicz United States
Wen Huang China
Ricardo Mañé Brazil
Viviane Baladi France
Michael Benedicks Sweden
A. Katok United States
Mikhail Lyubich United States
J. Smı́tal Czechia
Joel W. Robbin United States
Grant Cairns Australia
Michał Misiurewicz United States
Marcelo Viana
Citations per year, relative to Marcelo Viana Marcelo Viana (= 1×) peers Michał Misiurewicz

Countries citing papers authored by Marcelo Viana

Since Specialization
Citations

This map shows the geographic impact of Marcelo Viana's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Marcelo Viana with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Marcelo Viana more than expected).

Fields of papers citing papers by Marcelo Viana

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Marcelo Viana. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Marcelo Viana. The network helps show where Marcelo Viana may publish in the future.

Co-authorship network of co-authors of Marcelo Viana

This figure shows the co-authorship network connecting the top 25 collaborators of Marcelo Viana. A scholar is included among the top collaborators of Marcelo Viana based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Marcelo Viana. Marcelo Viana is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Ures, Raúl, et al.. (2024). Maximal Transverse Measures of Expanding Foliations. Communications in Mathematical Physics. 405(5).
2.
Viana, Marcelo, et al.. (2021). Differential Equations. Graduate studies in mathematics.
3.
Viana, Marcelo, et al.. (2019). Moduli of continuity for the Lyapunov exponents of random GL(2)-cocycles. Transactions of the American Mathematical Society. 373(2). 1343–1383. 6 indexed citations
4.
Viana, Marcelo & Jiagang Yang. (2018). Continuity of Lyapunov exponents in the C0 topology. Israel Journal of Mathematics. 229(1). 461–485. 7 indexed citations
5.
Melo, Welington de, Marcelo Viana, & Jean-Christophe Yoccoz. (2018). Geometric Methods in Dynamics (II) Volume in honor of Jacob Palis. Astérisque.
6.
Luzzatto, Stefano & Marcelo Viana. (2018). Positive Lyapunov exponents for Lorenz-like families with criticalities. Astérisque.
7.
Melo, Welington de, Marcelo Viana, & Jean-Christophe Yoccoz. (2018). Geometric Methods in Dynamics (I) Volume in honor of Jacob Palis. Astérisque. 1 indexed citations
8.
Avila, Artur, et al.. (2018). Cocycles over partially hyperbolic maps. Astérisque. 2 indexed citations
9.
Viana, Marcelo. (2016). Lógicas institucionais e estratégia como prática: uma abordagem construtivista. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas).
10.
Viana, Marcelo, et al.. (2013). The entropy conjecture for diffeomorphisms away from tangencies. Journal of the European Mathematical Society. 15(6). 2043–2060. 46 indexed citations
11.
Avila, Artur & Marcelo Viana. (2010). Extremal Lyapunov exponents: an invariance principle and applications. Inventiones mathematicae. 181(1). 115–178. 60 indexed citations
12.
Araújo, Vı́tor, Stefano Luzzatto, & Marcelo Viana. (2009). Invariant measures for interval maps with critical points and singularities. Advances in Mathematics. 221(5). 1428–1444. 6 indexed citations
13.
Kengne, Emmanuel, et al.. (2008). Transverse stability of solitary waves propagating in coupled nonlinear dispersive transmission lines. Physical Review E. 78(2). 26603–26603. 17 indexed citations
14.
Avila, Artur & Marcelo Viana. (2007). Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Acta Mathematica. 198(1). 1–56. 60 indexed citations
15.
Rotta, Alexandre T., et al.. (2006). Combining lung-protective strategies in experimental acute lung injury: The impact of high-frequency partial liquid ventilation. Pediatric Critical Care Medicine. 7(6). 562–570. 4 indexed citations
16.
Bonatti, Christian, Carlos Matheus, Marcelo Viana, & Amie Wilkinson. (2004). Abundance of stable ergodicity. Commentarii Mathematici Helvetici. 79(4). 753–757. 13 indexed citations
17.
Bonatti, Christian, Xavier Gómez-Mont, & Marcelo Viana. (2003). Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 20(4). 579–624. 44 indexed citations
18.
Viana, Marcelo. (1998). A probabilistic and geometric perspective.. Documenta Mathematica. 395–416. 27 indexed citations
19.
Viana, Marcelo, et al.. (1996). Strange attractors in saddle-node cycles: prevalence and globality. Inventiones mathematicae. 125(1). 37–74. 32 indexed citations
20.
Palis, Jacob & Marcelo Viana. (1994). High Dimension Diffeomorphisms Displaying Infinitely Many Periodic Attractors. Annals of Mathematics. 140(1). 207–207. 93 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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